The generator matrix

 1  0  0  0  1  1  1  1  1  X  1  1  1  1  1  1 (a+1)X  1  1 aX  1  1  1 aX  1  1  1 (a+1)X  0  1 aX  1  1  1  1  1 (a+1)X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1 (a+1)X aX (a+1)X  X  1  0  1  1 aX aX  1  1 aX  X  1  1
 0  1  0  0  0  X  X (a+1)X+1 aX+1  1 aX+a a+1 X+a (a+1)X+a+1  1  X (a+1)X  a  a  1 a+1 X+a  0  1  X X+a (a+1)X+a  1  1 (a+1)X+a+1  1 aX+a X+a+1 aX+1 X+a+1 X+a+1  1 (a+1)X a+1 (a+1)X+1  a aX+a+1 (a+1)X  X aX+1  0 (a+1)X+a+1 (a+1)X+1  1  1  1  1  X aX (a+1)X  1  1  X  1 aX+a+1  0 X+a+1 (a+1)X+1  1  1  1 (a+1)X+a+1  1  1 aX+1  a
 0  0  1  0  1 (a+1)X+a (a+1)X+a+1  X aX+a aX+a aX  0 aX+a+1 aX+1 a+1 X+a  1 aX+1 (a+1)X+a X+a  X  X  0 (a+1)X+a a+1 aX+a+1 aX+a+1 aX+a+1  X (a+1)X a+1 (a+1)X+1 aX+a+1 X+a+1 (a+1)X+a+1 aX+a  1  X aX+a (a+1)X X+a X+1 aX+1 aX+a X+1 X+a+1 a+1  0 aX+a X+a+1 (a+1)X+a (a+1)X+1 aX X+a+1 aX+a (a+1)X (a+1)X+1  1 X+1  X  1 X+a+1 X+a+1 X+1 (a+1)X+1  a  X  X X+a+1 aX+a+1  0
 0  0  0  1 a+1  a  1 (a+1)X+a aX (a+1)X+a (a+1)X+1 X+a+1  a aX+a  0 aX  1 aX+1 aX+1 (a+1)X X+1 (a+1)X+a a+1 X+1  X aX+a+1 (a+1)X+1 X+a X+1 (a+1)X+a aX a+1 (a+1)X  a X+a+1 X+a X+a+1 aX+1 a+1  0 (a+1)X+a X+1  a X+1  1  a X+1 (a+1)X+a+1 aX+1 X+a+1  X  X (a+1)X+1 X+a+1 aX+a+1 X+a+1 X+1 X+1  X  a  1 (a+1)X a+1  0 (a+1)X+a+1 (a+1)X  0 X+a+1 X+1 X+a+1 aX+a+1
 0  0  0  0  X  0 aX  0  0  0 aX  X aX  X aX  X aX  X (a+1)X aX (a+1)X  X (a+1)X aX  X  X  0 (a+1)X  X  0  X (a+1)X  0 (a+1)X aX  X aX  0  0 (a+1)X  X aX (a+1)X  X (a+1)X  0  0 (a+1)X  0  0  X aX (a+1)X  X (a+1)X  X (a+1)X (a+1)X aX aX  X  X aX  X  X  X aX aX  0 (a+1)X aX

generates a code of length 71 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+480x^193+768x^194+840x^195+807x^196+2472x^197+2652x^198+2652x^199+2391x^200+5832x^201+4884x^202+4848x^203+5235x^204+10704x^205+8436x^206+8004x^207+7002x^208+14700x^209+11844x^210+9708x^211+9591x^212+19620x^213+14472x^214+11436x^215+10041x^216+18948x^217+12720x^218+10452x^219+7578x^220+12696x^221+8052x^222+5340x^223+3684x^224+5364x^225+2964x^226+1788x^227+648x^228+1260x^229+756x^230+216x^231+39x^232+84x^233+36x^234+12x^235+30x^236+24x^240+6x^244+9x^248+9x^252+9x^256

The gray image is a linear code over GF(4) with n=284, k=9 and d=193.
This code was found by Heurico 1.16 in 329 seconds.